45:54:64
Jump to navigation
Jump to search
| Harmonics | 45:54:64 |
| Subharmonics | 1/(192:160:135) |
| Intervals from root | 1/1 – 6/5 – 64/45 |
| Cents from root | 0¢ 316¢ 610¢ |
| Step intervals | 6/5, 32/27 |
| Step cents | 316¢, 294¢ |
| Color name | gu gu-5 or g(g5) |
| Prime limit | 5 |
| Genus | 33 ⋅ 5 (135) |
| Intervallic odd limit | 45 |
| Otonal odd limit | 45 |
| Utonal odd limit | 135 |
45:54:64 is a 5-limit diminished triad found on viio (15⁄8) in Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. Its 64/45 diminished fifth is formed by a 32/27 Pythagorean minor third on top of a 6/5 Ptolemaic minor third.